Abelian Group Theory

Proceedings of the 2nd New Mexico State University Conference, held at LasCruces, New Mexico, December 9 - 12, 1976
Herausgegeben:Arnold, D. M.; Hunter, R.; Walker, E.

• Broschiertes Buch

Produktbeschreibung

The structure of mixed abelian groups.- Decomposition bases and Ulm¿s theorem.- The structure of p-trees: Algebraic systems related to abelian groups.- A Guide to valuated groups.- Warfield modules.- Finite valuated groups.- Criteria for freeness in groups and valuated vector spaces.- Subfree valued vector spaces.- On classifying torsion free modules over discrete valuation rings.- A sheaf - Theoretic interpretation of the kuro¿ theorem.- Genera and direct sum decompositions of torsion free modules.- Quasi-pure-injectivity and quasi-pure projectivity.- Sur les groupes quasi-p-nets injectifs et projectifs.- Whitehead¿s problem.- Methods of logic in abelian group theory.- Abelian structures I.- The number of ? ¿ Free abelian groups and the size of Ext.- The Jacobson radical of some endomorphism rings.- Ulm valuations and co-valuations on torsion-complete p-groups.- A result on problem 87 of L. Fuchs.- Local-quasi-endomorphism rings of rank one mixed abelian groups.- Homological dimension and abelian groups.- A galois correspondence in abelian groups.- A different completion functor.- Analogues of the Stacked Bases Theorem.- Commutative rings whose finitely generated modules are direct sums of cyclics.

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Produktdetails

• Lecture Notes in Mathematics 616
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-08447-1
• 1977.
• Seitenzahl: 436
• Erscheinungstermin: 1. Oktober 1977
• Englisch
• Abmessung: 235mm x 155mm x 24mm
• Gewicht: 684g
• ISBN-13: 9783540084471
• ISBN-10: 3540084479
• Artikelnr.: 23561825

Inhaltsangabe

The structure of mixed abelian groups.- Decomposition bases and Ulm's theorem.- The structure of p-trees: Algebraic systems related to abelian groups.- A Guide to valuated groups.- Warfield modules.- Finite valuated groups.- Criteria for freeness in groups and valuated vector spaces.- Subfree valued vector spaces.- On classifying torsion free modules over discrete valuation rings.- A sheaf - Theoretic interpretation of the kuros theorem.- Genera and direct sum decompositions of torsion free modules.- Quasi-pure-injectivity and quasi-pure projectivity.- Sur les groupes quasi-p-nets injectifs et projectifs.- Whitehead's problem.- Methods of logic in abelian group theory.- Abelian structures I.- The number of ? - Free abelian groups and the size of Ext.- The Jacobson radical of some endomorphism rings.- Ulm valuations and co-valuations on torsion-complete p-groups.- A result on problem 87 of L. Fuchs.- Local-quasi-endomorphism rings of rank one mixed abelian groups.- Homological dimension and abelian groups.- A galois correspondence in abelian groups.- A different completion functor.- Analogues of the Stacked Bases Theorem.- Commutative rings whose finitely generated modules are direct sums of cyclics.